Home / 1,208.15-1,811.68-342.26

Finding the Fourth Proportional to 1,208.15, 1,811.68 and 342.26

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Solution

The fourth proportional to 1,208.15, 1,811.68 and 342.26 is: 513.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.15 : 1,811.68 = 342.26 : x
  2. Step 2: Convert to fraction form
    1,208.15/1,811.68 = 342.26/x
  3. Step 3: Cross multiply
    1,208.15x = 1,811.68 × 342.26
  4. Step 4: Simplify right side
    1,208.15x = 620,065.60
  5. Step 5: Solve for x
    x = 620,065.60/1,208.15
  6. Step 6: Final answer
    x = 513.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.